Analytic solutions for the evolution of domain walls - art. no. 125004

We introduce an unusual asymmetric double well potential, a piecewise parab olic one, and we show that the solutions for the evolution of its domain wa lls can be found analytically, in contrast with the case of the standard ph i(4) field theory. We find exact solutions for the critical bubble, for the motion of domain walls in one, two and three spatial dimensions, and for t he Euclidean O(4) bounce that determines the decay rate of the false vacuum . [S0556-2821(99)01524-6].